Ma\~n\'e's conjectures in codimension one
Ugo Bessi, Daniel Massart
TL;DR
This paper proves Mañé's conjectures within the framework of codimension one Aubry-Mather theory, advancing understanding of dynamical systems and variational methods.
Contribution
It provides a proof of Mañé's conjectures specifically in the setting of codimension one Aubry-Mather theory, a significant theoretical advancement.
Findings
Confirmed Mañé's conjectures in codimension one cases
Enhanced understanding of Aubry-Mather sets
Contributed to the theory of dynamical systems
Abstract
We prove Ma\~n\'e's conjectures in the context of codimension one Aubry-Mather theory
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory · Geometry and complex manifolds